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- W1605695215 abstract "A path-integral representation for the kernel of the evolution operator of general Hamiltonian systems is reviewed. We study the models with bosonic and fermionic degrees of freedom. A general scheme for introducing boundary conditions in the path-integral is given. We calculate the path-integral for the systems with quadratic first class constraints and present an explicit formula for the heat kernel in this case. These results may be applied to many quantum systems which can be reduced to the Hamiltonian systems with quadratic constraints (confined quarks, Calogero type models, string and $p$-brain theories, etc.)." @default.
- W1605695215 created "2016-06-24" @default.
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- W1605695215 date "1998-10-15" @default.
- W1605695215 modified "2023-09-27" @default.
- W1605695215 title "Path-Integral for Quadratic Hamiltonian Systems and Boundary Conditions" @default.
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- W1605695215 hasPublicationYear "1998" @default.
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